We present a reformulation of the plane-wave pseudopotential method for insulators. This new approach allows us to perform density-functional calculations by solving directly for ‘‘nonorthogonal generalized Wannier functions’’ rather than extended Bloch states. We outline the theory on which our method is based and present test calculations on a variety of systems. Comparison of our results wit...

In this paper we will prove Goncharov’s 22-term relations (see [A.B. Goncharov, Geometry of configurations, polylogarithms and motivic cohomology, Adv. Math. 114 (1995) 179–319. [G1]]) in the linearized version of Bloch’s higher Chow group CH3(F,5) using linear fractional cycles of Bloch, Kriz and Totaro under the Beilinson–Soulé vanishing conjecture that CH2(F,n)= 0 for n 4. © 2006 Elsevier In...

Studies using backward masked emotional stimuli suggest that affective processing may occur outside visual awareness and imply primacy of affective over semantic processing, yet these experiments have not strictly controlled for the participants' awareness of the stimuli. Here we directly compared the primacy of affective versus semantic categorization of biologically relevant stimuli in 5 expe...

Since the early 90’s, affective computing researches have mainly been focused on emotions recognition and less on original entertainment contents that could be proposed. We present a prototype resulting from the association of a physiological sensing device with an original game.

Based on a novel application of an archimedean type pairing to the geometry and deformation theory of K3 surfaces, we construct a regulator indecomposable K1-class on a self-product of a K3 surface. In the Appendix, we explain how this pairing is a special instance of a general pairing on precycles in the equivalence relation defining Bloch’s higher Chow groups.

Patrik Wyss, Shaihan J Malik, Vincent O Boer, Johanna J Bluemink, Alexander Raaijmakers, Mustafa Cavusoglu, Peter Luijten, Johannes J Hoogduin, Giel Mens, and Anke Henning Institute for Biomedical Engineering, UZH and ETH Zurich, Zurich, Switzerland, Imaging Sciences and Biomedical Engineering, Kings College London, London, United Kingdom, University Medical Center Utrecht, Utrecht, Netherlands...

We give a characterization of lacunary series in the Bloch space of the unit ball in C in terms of Taylor coefficients. We also characterize Bloch functions whose Taylor coefficients are nonnegative. The corresponding problems for BMOA are discussed as well.

In this paper, we study algebraic and analytic properties of Fourier coefficients, expressed as q-series, of the so-called Bloch-Okounkov n-point function. We prove several results about these series and explain how they relate to Rogers’ false theta function. Then we obtain their full asymptotics, as τ → 0, and use this result to derive asymptotic properties of the coefficients in the q-expans...